2539138560 has 320 divisors, whose sum is σ = 9418540032. Its totient is φ = 571539456.

The previous prime is 2539138507. The next prime is 2539138561. The reversal of 2539138560 is 658319352.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2539138561) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3924157 + ... + 3924803.

Almost surely, 2^2539138560 is an apocalyptic number.

2539138560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2539138560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4709270016).

2539138560 is an abundant number, since it is smaller than the sum of its proper divisors (6879401472).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2539138560 is an equidigital number, since it uses as much as digits as its factorization.

2539138560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 753 (or 737 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 42.

The square root of 2539138560 is about 50389.8656477669. The cubic root of 2539138560 is about 1364.2547260645.

The spelling of 2539138560 in words is "two billion, five hundred thirty-nine million, one hundred thirty-eight thousand, five hundred sixty".